Noncausality and Instability in Ultradense Matter

Computer Science – Sound

Scientific paper

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Scientific paper

In a classical system of particles interacting via neutral vector-meson exchange, at very high densities the pressure exceeds the relativistic energy density, and the speed of low-frequency sound waves exceeds the speed of light in vacuum. A quantum version of the same model, if it is stable against spontaneous pair production, can be neither ultrabaric nor superluminal, if, at high density, the correlation energy increases faster than the number of particles. Real matter, if it is stable at very high densities, is not expected to show noncausal sound propagation.

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